Andrew M. Weiner, Editor-in-Chief
Luciano Mescia, Pietro Bia, Marco De Sario, Annalisa Di Tommaso, and Francesco Prudenzano
Luciano Mescia,* Pietro Bia, Marco De Sario, Annalisa Di Tommaso, and Francesco Prudenzano
DEE-Dipartimento di Elettrotecnica ed Elettronica, Politecnico di Bari, via E. Orabona 4, 70125 Bari -
*Corresponding author: firstname.lastname@example.org
A dedicated 3D numerical model based on coupled mode theory and solving the rate equations has been developed to analyse, design and optimize an optical amplifier obtained by using a tapered fiber and a Er3+-doped chalcogenide microsphere. The simulation model takes into account the main transitions among the erbium energy levels, the amplified spontaneous emission and the most important secondary transitions pertaining to the ion–ion interactions. The taper angle of the optical fiber and the fiber-microsphere gap have been designed to efficiently inject into the microsphere both the pump and the signal beams and to improve their spatial overlapping with the rare earth doped region. In order to reduce the computational time, a detailed investigation of the amplifier performance has been carried out by changing the number of sectors in which the doped area is partitioned. The simulation results highlight that this scheme could be useful to develop high efficiency and compact mid-infrared amplifiers.
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Layout scheme of the fiber taper coupled to the Er3+-doped chalcogenide micro-sphere.
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Energy level diagram of the Er3+ ions considered in our simulations.
Discretization of the doped area in the plane r̂ ·θ̂.
Transmission spectrum of the undoped microsphere, having radius R0 = 25 μm, around (a) pump wavelength λp = 0.98 μm and (b) signal wavelength λs = 2.76 μm.
Signal transmittance versus the number of the sector q for different maximum polar angles: θmax = π/5 rad (full curve), θmax = π/10 rad (dash curve), θmax = π/20 rad (dash-dot curve) and θmax = π/30 rad (dot curve).
Signal transmittance versus the thickness of the doped region s for different maximum polar angles: θmax = π/5 rad (full curve), θmax = π/10 rad (dash curve), θmax = π/20 rad (dash-dot curve) and θmax = π/30 rad (dot curve).
Signal transmittance versus the maximum polar angle for different thicknesses of the doped region: s=3 μm (full curve), s=2 μm (dash curve), and s=1 μm (dot curve).
Transmittance versus the fibre-microsphere gap for different erbium concentrations: NEr = 0.5 w% (full curve), NEr = 0.3 w% (dash curve), and NEr = 0.1 w% (dot curve); transmittance of the undoped microsphere at pump wavelength (square mark) and at signal wavelength (circular mark).
Signal transmittance versus the fibre-microsphere gap for different taper angles: δ = 0.01 rad (full curve), δ = 0.02 rad (dash curve), and δ = 0.03 rad (dot curve).
Signal transmittance versus the pump power for different input signal powers: Ps = −50 dBm (full curve), Ps = −40 dBm (dash curve), and Ps = −30 dBm (dot curve).
Signal transmittance versus the time for different input pump powers: Pp = 200 mW (full curve), Pp = 100 mW (dash curve), and Pp = 50 mW (dot curve).
Table 1 Spectroscopic parameters of the Er3+-doped chalcogenide microsphere.
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